Data:T(7,3)/Integral Khovanov Homology: Difference between revisions
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<math>t^9 \textrm{ZMod}(0) q^{29}+t^9 \textrm{ZMod}(0) q^{27}+t^8 \textrm{ZMod}(0) q^{25}+t^7 \textrm{ZMod}(0) q^{25}+t^8 \textrm{ZMod}(0) q^{23}+t^5 \textrm{ZMod}(0) q^{23}+t^7 \textrm{ZMod}(2) q^{23}+t^6 \textrm{ZMod}(0) q^{21}+t^5 \textrm{ZMod}(0) q^{21}+t^4 \textrm{ZMod}(0) q^{19}+t^3 \textrm{ZMod}(0) q^{19}+t^4 \textrm{ZMod}(0) q^{17}+t^3 \textrm{ZMod}(2) q^{17}+t^2 \textrm{ZMod}(0) q^{15}+\textrm{ZMod}(0) q^{13}+\textrm{ZMod}(0) q^{11}</math> |
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|<math>\dim{\mathcal G}_{2r+i}\operatorname{KH}^r_{\mathbb Z}</math> |
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|<math>i=7</math> |
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|<math>i=9</math> |
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|<math>i=11</math> |
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|<math>i=13</math> |
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|- align=center |
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|<math>r=0</math> |
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|bgcolor=yellow| |
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|bgcolor=yellow| |
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|<math>{\mathbb Z}</math> |
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|<math>{\mathbb Z}</math> |
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|- align=center |
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|<math>r=1</math> |
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|bgcolor=yellow| |
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|bgcolor=yellow| |
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|- align=center |
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|<math>r=2</math> |
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|bgcolor=yellow| |
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|bgcolor=yellow| |
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|<math>{\mathbb Z}</math> |
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|- align=center |
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|<math>r=3</math> |
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|bgcolor=yellow| |
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|bgcolor=yellow| |
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|<math>{\mathbb Z}_2</math> |
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|<math>{\mathbb Z}</math> |
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|- align=center |
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|<math>r=4</math> |
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|bgcolor=yellow| |
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|bgcolor=yellow|<math>{\mathbb Z}</math> |
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|<math>{\mathbb Z}</math> |
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|- align=center |
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|<math>r=5</math> |
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|bgcolor=yellow| |
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|bgcolor=yellow| |
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|<math>{\mathbb Z}</math> |
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|<math>{\mathbb Z}</math> |
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|- align=center |
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|<math>r=6</math> |
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|bgcolor=yellow| |
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|bgcolor=yellow|<math>{\mathbb Z}</math> |
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|- align=center |
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|<math>r=7</math> |
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|bgcolor=yellow| |
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|bgcolor=yellow|<math>{\mathbb Z}_2</math> |
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|<math>{\mathbb Z}</math> |
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|- align=center |
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|<math>r=8</math> |
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|bgcolor=yellow|<math>{\mathbb Z}</math> |
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|bgcolor=yellow|<math>{\mathbb Z}</math> |
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|- align=center |
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|<math>r=9</math> |
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|bgcolor=yellow| |
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|bgcolor=yellow|<math>{\mathbb Z}</math> |
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|<math>{\mathbb Z}</math> |
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Latest revision as of 07:10, 27 June 2006
| Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \dim{\mathcal G}_{2r+i}\operatorname{KH}^r_{\mathbb Z}} | Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle i=7} | Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle i=9} | Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle i=11} | Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle i=13} |
| Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle r=0} | ||||
| Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle r=5} | Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle {\mathbb Z}} | Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle {\mathbb Z}} | ||
| Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle r=6} | Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle {\mathbb Z}} | |||
| Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle r=7} | Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle {\mathbb Z}_2} | Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle {\mathbb Z}} | ||
| Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle r=8} | Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle {\mathbb Z}} | Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle {\mathbb Z}} | ||
| Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle r=9} | Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle {\mathbb Z}} | Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle {\mathbb Z}} |
